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A002840 Number of polyhedral graphs with n edges.
(Formerly M0339 N0129)
4
1, 0, 1, 2, 2, 4, 12, 22, 58, 158, 448, 1342, 4199, 13384, 43708, 144810, 485704, 1645576, 5623571, 19358410, 67078828, 233800162, 819267086, 2884908430 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,4

COMMENTS

The subsequence of primes begins a(9) = a(10) = 2, a(24) = 5623571, no more through a(29). - Jonathan Vos Post, Feb 05 2011

REFERENCES

M. B. Dillencourt, Polyhedra of small orders and their Hamiltonian properties. Tech. Rep. 92-91, Info. and Comp. Sci. Dept., Univ. Calif. Irvine, 1992.

Duijvestijn, A. J. W.; Federico, P. J.; The number of polyhedral (3-connected planar) graphs. Math. Comp. 37 (1981), no. 156, 523-532.

P. J. Federico, Enumeration of polyhedra: the number of 9-hedra, J. Combin. Theory, 7 (1969), 155-161.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

T. R. S. Walsh, personal communication.

LINKS

Table of n, a(n) for n=6..29.

G. P. Michon, Counting Polyhedra

Eric Weisstein's World of Mathematics, Polyhedral Graph

CROSSREFS

Cf. A002841, A000944.

Sequence in context: A112362 A134720 A019225 * A253677 A182894 A007181

Adjacent sequences:  A002837 A002838 A002839 * A002841 A002842 A002843

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified December 11 03:07 EST 2016. Contains 279034 sequences.